Answer:
(-41)/6 or -6 5/6 as a mixed fraction
Explanation:
Simplify the following:
1 + 2/3 - (8 + 1/2)
Put 8 + 1/2 over the common denominator 2. 8 + 1/2 = (2×8)/2 + 1/2:
1 + 2/3 - ((2×8)/2 + 1/2)
2×8 = 16:
1 + 2/3 - (16/2 + 1/2)
16/2 + 1/2 = (16 + 1)/2:
1 + 2/3 - ((16 + 1)/2)
16 + 1 = 17:
1 + 2/3 - 17/2
Put 1 + 2/3 - 17/2 over the common denominator 6. 1 + 2/3 - 17/2 = 6/6 + (2×2)/6 + (3 (-17))/6:
6/6 + (2×2)/6 + (3 (-17))/6
2×2 = 4:
6/6 + 4/6 + (3 (-17))/6
3 (-17) = -51:
6/6 + 4/6 + (-51)/6
6/6 + 4/6 - 51/6 = (6 + 4 - 51)/6:
(6 + 4 - 51)/6
6 + 4 = 10:
(10 - 51)/6
10 - 51 = -(51 - 10):
(-(51 - 10))/6
| 5 | 1
- | 1 | 0
| 4 | 1:
Answer: (-41)/6